New existence and uniqueness results for an α order boundary value problem

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DOI:

https://doi.org/10.26637/mjm104/002

Abstract

This paper is concerned with the existence of solutions for a non local fractional boundary value problem with integral conditions. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schauder and Krasnoselskii theorems. As an application, we give an example to illustrate our results.

Keywords:

Caputo derivative, fixed point theorem, boundary value problem

Mathematics Subject Classification:

26A33, 34B15
  • Zoubir Dahmani Laboratory of Pure and Applied Mathematics, LPAM, Faculty SEI, UMAB University of Mostaganem, Algeria.
  • Mohamed Amin Abdellaoui Laboratory of Pure and Applied Mathematics, LPAM, Faculty SEI, UMAB University of Mostaganem, Algeria.
  • Pages: 10-19
  • Date Published: 01-10-2013
  • Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)

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Published

01-10-2013

How to Cite

Zoubir Dahmani, and Mohamed Amin Abdellaoui. “New Existence and Uniqueness Results for an α Order Boundary Value Problem”. Malaya Journal of Matematik, vol. 1, no. 04, Oct. 2013, pp. 10-19, doi:10.26637/mjm104/002.

Issue

Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2013 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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